Inequalities Quiz Set 012

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Question 1

In a certain language different symbols represent different operators as follows.

  1. ∩ means X = Y
  2. ¢ means X ≯ (not more than) Y
  3. @ means X ≮ (not less than) Y
  4. £ means X < Y
  5. $ means X > Y

Statements: F £ G; G ∩ H; H ¢ I;

Conclusions:

  1. F $ I
  2. G $ I
 A

both I and II are true.

 B

only conclusion II is true.

 C

only conclusion I is true.

 D

neither I nor II is true.

Soln.
Ans: d

The statements can be translated to F < G = H ≤ I. Conclusion I translates to F > I. Conclusion II translates to G > I. So we can see that neither I nor II is true.

Please remember that in such questions ≯ (not more than) is same as ≤, and ≮ (not less than) is same as ≥.


Question 2

In a certain language different symbols represent different operators as follows.

  1. ¥ means X = Y
  2. ∧ means X ≯ (not more than) Y
  3. η means X ≥ Y
  4. Ξ means X < Y
  5. Γ means X > Y

Statements: B Ξ C; C Ξ D; D ∧ E;

Conclusions:

  1. B Γ E
  2. D Ξ B
 A

both I and II are true.

 B

only conclusion II is true.

 C

only conclusion I is true.

 D

neither I nor II is true.

Soln.
Ans: d

The statements can be translated to B < C < D ≤ E. Conclusion I translates to B > E. Conclusion II translates to D < B. So we can see that neither I nor II is true.

Please remember that in such questions ≯ (not more than) is same as ≤, and ≮ (not less than) is same as ≥.


Question 3

In a certain language different symbols represent different operators as follows.

  1. © means X = Y
  2. ∑ means X ≯ (not more than) Y
  3. Γ means X ≮ (not less than) Y
  4. ∧ means X < Y
  5. ∀ means X > Y

Statements: O Γ P; P ∧ Q; Q © R;

Conclusions:

  1. P ∧ R
  2. Q © R
 A

both I and II are true.

 B

only conclusion II is true.

 C

only conclusion I is true.

 D

either I or II can be true.

Soln.
Ans: a

The statements can be translated to O ≥ P < Q = R. Conclusion I translates to P < R. Conclusion II translates to Q = R. So we can see that both I and II are true.

Please remember that in such questions ≯ (not more than) is same as ≤, and ≮ (not less than) is same as ≥.


Question 4

In a certain language different symbols represent different operators as follows.

  1. ¢ means X = Y
  2. ® means X ≤ Y
  3. ¥ means X ≥ Y
  4. ∅ means X < Y
  5. ⊗ means X > Y

Statements: T ¢ U; U ∅ V; V ∅ W; W ⊗ X;

Conclusions:

  1. U ∅ X
  2. T ∅ X
  3. W ⊗ T

Which of the above conclusions is/are true?

 A

III only.

 B

both III and II.

 C

II only.

 D

I only.

Soln.
Ans: a

The statements can be translated to T = U < V < W > X.

The conclusions translate to:

  1. U < X(False)
  2. T < X(False)
  3. W > T(True)

Question 5

In a certain language different symbols represent different operators as follows.

  1. £ means X = Y
  2. ⊗ means X ≤ Y
  3. ∀ means X ≥ Y
  4. ∏ means X < Y
  5. Ξ means X > Y

Statements: B £ C; C £ D; D Ξ E;

Conclusions:

  1. B £ E
  2. C Ξ E
 A

both I and II are true.

 B

only conclusion II is true.

 C

only conclusion I is true.

 D

either I or II can be true.

Soln.
Ans: b

The statements can be translated to B = C = D > E. Conclusion I translates to B = E. Conclusion II translates to C > E. So we can see that only conclusion II is true.

Please remember that in such questions ≯ (not more than) is same as ≤, and ≮ (not less than) is same as ≥.


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This Blog Post/Article "Inequalities Quiz Set 012" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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